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Finding the Fourth Proportional to 329.91, 491.37 and 312.56

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Solution

The fourth proportional to 329.91, 491.37 and 312.56 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 491.37 = 312.56 : x
  2. Step 2: Convert to fraction form
    329.91/491.37 = 312.56/x
  3. Step 3: Cross multiply
    329.91x = 491.37 × 312.56
  4. Step 4: Simplify right side
    329.91x = 153,583.46
  5. Step 5: Solve for x
    x = 153,583.46/329.91
  6. Step 6: Final answer
    x = 465.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.